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Let f:[-sqrt(2)+1,sqrt(2)+1]to[(-sqrt(2)...

Let `f:[-sqrt(2)+1,sqrt(2)+1]to[(-sqrt(2)+1),2,(sqrt(2)+1)/2]` be a function defined by `f(x)=(1-x)/(1+x^(2))`.
If `f^(-1)(x)={((-1+lamda(sqrt(4x-4x^(2)+1)))/(2x),x!=0),(mu,x=0):}` then `lamda+mu` is.

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